Free SOA Exam PA (Predictive Analytics) Predictive Analytics Problem Definition Practice Questions
Problem definition on SOA Exam PA covers translating a business problem into a predictive modeling task: choosing the target variable, framing regression versus classification, identifying constraints and stakeholders, and stating how model results will drive a business decision.
75 questions20 easy48 medium7 hard2026 syllabus
Sample Questions
Question 1
Easy
Which of the following business requests is best matched to PREDICTIVE analytics rather than descriptive or prescriptive?
🎉
Correct Answer: D
Solution
D is correct. Estimating each borrower's future default likelihood is a forward-looking outcome estimate, the defining feature of predictive analytics. Ranking and reporting prior-year figures are descriptive, while choosing a cutoff or allocating a budget to optimize an objective are prescriptive.
Question 2
Medium
Which of the following pairs a business goal with the type of analytics it primarily represents CORRECTLY?
🎉
Correct Answer: D
Solution
D is correct. Forecasting a future, per-customer claim count is a predictive task because it estimates an unknown future outcome. Estimating a future lapse rate is predictive (not descriptive), reporting last year's loss ratios and tabulating prior-year premiums are descriptive (not predictive/prescriptive), and choosing a discount to maximize retention is prescriptive (not descriptive).
Question 3
Hard
A team can increase the size of the training dataset for an unchanged, moderately flexible GLM. Holding the model form fixed, what is the most accurate expected effect on the bias-variance decomposition?
🎉
Correct Answer: D
Solution
D is correct. More training data stabilizes the estimated coefficients, so the fitted predictions vary less across samples — variance decreases. Bias is set by the chosen model form (a GLM still cannot capture structure it does not include), so it is largely unchanged, and the irreducible process noise Var(ε) is a property of the data, not the sample size.
FreeFellow was built by Jeffrey Ting, a credentialed actuary and CFA charterholder who passed thirteen of the hardest exams in finance on the first attempt, and paid four-figure prep fees for every one. The learning itself was always free. The price was a moat.
So he started writing his own questions, then lessons, then mock exams, until it grew into a full prep platform covering 35 finance credentials with more than 40,000 original practice questions. The name says exactly what it is: the question bank is free, and Fellow is what you become once you pass.
01
Cost shouldn't decide who gets in.
The exam is a fair gate. A four-figure prep course is not. FreeFellow takes the second gate down, so the exam is the only one left.
02
Free should mean free.
No trial clock, no email gate, no credit card. The question bank, worked solutions, lessons, and readiness score stay free, and they are enough to pass.
03
Built by someone who sat where you sit.
He paid for the big-name courses, found nothing he respected, and built the prep he wished had existed. Not a marketing team that has never sat an exam.
